Difference between revisions of "2023 AMC 8 Problems/Problem 9"
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==Problem== | ==Problem== | ||
− | Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she skis along a trail. In total, how many seconds does she spend at an elevation between 4 and 7 meters? | + | Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she skis along a trail. In total, how many seconds does she spend at an elevation between <math>4</math> and <math>7</math> meters? |
− | |||
[[Image:2023 AMC 8-9.png|center|400px]] | [[Image:2023 AMC 8-9.png|center|400px]] | ||
− | |||
<math>\textbf{(A)}\ 6 \qquad \textbf{(B)}\ 8 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 12 \qquad \textbf{(E)}\ 14</math> | <math>\textbf{(A)}\ 6 \qquad \textbf{(B)}\ 8 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 12 \qquad \textbf{(E)}\ 14</math> | ||
==Solution== | ==Solution== | ||
+ | The time intervals in which Malaika's elevation is between <math>4</math> and <math>7</math> meters are: | ||
+ | |||
+ | * from the <math>2</math>nd to the <math>4</math>th seconds | ||
− | + | * from the <math>6</math>th to the <math>10</math>th seconds | |
− | + | ||
+ | * from the <math>12</math>th to the <math>14</math>th seconds | ||
+ | |||
+ | In total, Malaika spends <math>(4-2) + (10-6) + (14-12) = \boxed{\textbf{(B)}\ 8}</math> seconds at such elevation. | ||
+ | |||
+ | ~apex304, MRENTHUSIASM | ||
== Video Solution 1 by SpreadTheMathLove== | == Video Solution 1 by SpreadTheMathLove== | ||
https://www.youtube.com/watch?v=lfyg5ZMV0gg | https://www.youtube.com/watch?v=lfyg5ZMV0gg | ||
+ | |||
+ | ==See Also== | ||
+ | {{AMC8 box|year=2023|num-b=8|num-a=10}} | ||
+ | {{MAA Notice}} |
Revision as of 03:48, 25 January 2023
Problem
Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she skis along a trail. In total, how many seconds does she spend at an elevation between and
meters?
Solution
The time intervals in which Malaika's elevation is between and
meters are:
- from the
nd to the
th seconds
- from the
th to the
th seconds
- from the
th to the
th seconds
In total, Malaika spends seconds at such elevation.
~apex304, MRENTHUSIASM
Video Solution 1 by SpreadTheMathLove
https://www.youtube.com/watch?v=lfyg5ZMV0gg
See Also
2023 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.